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Symplectic non-squeezing for mass subcritical fourth-order Schrödinger equations

Volume 149 / 2017

Qianyun Miao Colloquium Mathematicum 149 (2017), 137-164 MSC: Primary 35P25; Secondary 35Q55. DOI: 10.4064/cm7088-11-2016 Published online: 30 June 2017


Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schrödinger equations $iu_t-\varDelta ^2 u=\pm |u|^pu$ with $3/2 \lt p \lt 8$ in dimension one.


  • Qianyun MiaoSchool of Mathematics and System Sciences
    Beihang University
    Beijing, China, 100191

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